Forthcoming events in this series


Thu, 04 Mar 2010
14:00
L3

On the field with one element

Pierre Cartier
(IHES)
Abstract

We shall explain how to give substance to an old dream of Tits, to invent exotic new zeta functions, and discover the skeleton of algebraic varieties (toric manifolds and tropial geometry).

Wed, 03 Mar 2010
11:00
L1

On the field with one element

Pierre Cartier
(IHES)
Abstract

We shall explain how to give substance to an old dream of Tits, to invent exotic new zeta functions, and discover the skeleton of algebraic varieties (toric manifolds and tropical geometry).

Tue, 02 Mar 2010
17:00
L2

On the field with one element

Pierre Cartier
(IHES)
Abstract

We shall explain how to give substance to an old dream of Tits, to invent exotic new zeta functions, and discover the skeleton of algebraic varieties (toric manifolds and tropical geometry).

Thu, 05 Mar 2009

11:00 - 12:00
L2

Decomposition theorem for abelian fibrations

Professor Bao Chau Ngo
(Orsay)
Abstract

Derived direct image of a proper map with smooth source is a direct sum of simple perverse sheaves with shifts in the degrees. The supports of these simple perverse sheaves are obviously important  topological invariants of the map. In general, it is difficult to determine these supports. This is possible for an abelian fibration under some assumptions. This determination has some amazing  consequences on equality of number of points of certain algebraic varieties over finite fields and in particular, it implies the so called fundamental lemma in Langlands' program.

Tue, 15 May 2007
12:00
DH 1st floor SR

OCIAM /CMB Special Seminar - Holes, Traps and Spots : The Modelling and Analysis of Two-Dimensional Localised Structures in some

Professor Michael Ward
(UBC, Vancouver)
Abstract

A singular perturbation analysis is presented to analyze various PDE models in a
two-dimensional domain that contain localized regions of non-uniform behavior. A
key theme of this talk is to present a unified mathematical approach, based on
an asymptotic analysis involving logarithmic series and certain Green's function
techniques, that can be used to treat a variety of PDE models such as diffusion
or eigenvalue problems in perforated domains or reaction-diffusion models with
spot-type behavior.

Wed, 27 Sep 2006
15:45
L2

Tropical Implicitization

Brend Sturmfels
(UC, Berkeley)
Abstract
Spitalfields Day: Aspects of Geometry